%0 Journal Article
%T Weakly irreducible ideals
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Samiei, M.
%A Fazaeli Moghimi, H.
%D 2016
%\ 12/01/2016
%V 4
%N 2
%P 9-17
%! Weakly irreducible ideals
%K Weakly irreducible ideal
%K quasi-primary ideal
%K strongly irreducible ideal
%R
%X Let $R$ be a commutative ring. The purpose of this article is to introduce a new class of ideals of R called weakly irreducible ideals. This class could be a generalization of the families quasi-primary ideals and strongly irreducible ideals. The relationships between the notions primary, quasi-primary, weakly irreducible, strongly irreducible and irreducible ideals, in different rings, has been given. Also the relations between weakly irreducible ideals of $R$ and weakly irreducible ideals of localizations of the ring $R$ are also studied.
%U https://jart.guilan.ac.ir/article_2001_9216f3d6632631978bd0157cd816db85.pdf